English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

This work is concerned with the kernel-based approximation of acomplex-valued function from data, where the frequency response function of apartial differential equation in the frequency domain is of particularinterest. In this setting, kernel methods are employed more and morefrequently, however, standard kernels do not perform well. Moreover, the roleand mathematical implications of the underlying pair of kernels, which arisesnaturally in the complex-valued case, remain to be addressed. We introduce newreproducing kernel Hilbert spaces of complex-valued functions, and formulatethe problem of complex-valued interpolation with a kernel pair as minimum norminterpolation in these spaces. Moreover, we combine the interpolant with alow-order rational function, where the order is adaptively selected based on anew model selection criterion. Numerical results on examples from differentfields, including electromagnetics and acoustic examples, illustrate theperformance of the method, also in comparison to available rationalapproximation methods.

Rational kernel-based interpolation for complex-valued frequency response functions